A199207 a(n) = 7*4^n+1.
8, 29, 113, 449, 1793, 7169, 28673, 114689, 458753, 1835009, 7340033, 29360129, 117440513, 469762049, 1879048193, 7516192769, 30064771073, 120259084289, 481036337153, 1924145348609, 7696581394433, 30786325577729
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..1000
- Index entries for linear recurrences with constant coefficients, signature (5,-4).
Programs
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Magma
[7*4^n+1: n in [0..30]];
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Mathematica
7*4^Range[0,30]+1 (* or *) LinearRecurrence[{5,-4},{8,29},30] (* Harvey P. Dale, Jan 21 2023 *)
Formula
a(n) = 4*a(n-1)-3.
a(n) = 5*a(n-1)-4*a(n-2).
G.f.: (8-11*x)/((1-x)*(1-4*x)). - Bruno Berselli, Nov 04 2011